Distortional and Lateral Buckling of Z-Purlins with Sloping Lips in Flexure
Publication: Journal of Structural Engineering
Volume 144, Issue 10
Abstract
A unified model that can be used to study both distortional buckling and global lateral buckling of cold-formed Z-purlins with sloping lips is presented. The model is composed of the compressive lipped flange and part of the web, upon which two interactive springs are attached, representing the restraints of remaining part of the cross section. The distortional and lateral buckling capacities are obtained by the Ritz method. The inclination angle of the lip, as well as widths of the flange and lip, are varied in the parametric study. The results show that the inclination angle has a significant influence on the distortional buckling coefficient but relatively less influence on lateral buckling. The distortional buckling coefficients increase as the flange and lip widths become larger. The results are also used to predict the load-carrying capacity of available tests, and good agreement is achieved with the test results. Formulas for distortional buckling coefficients of Z-purlins with sloping lips are presented and have been verified to have high accuracy compared with the numerical results.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This research work is financially supported by the National Natural Science Foundation of China under Grant No. 51478421. The financial support is greatly acknowledged.
References
AISI (American Iron and Steel Institute). 1986. North American specification for the design of cold-formed steel structural members. AISI-S100. Washington, DC: AISI.
AISI (American Iron and Steel Institute). 2012. North American specification for the design of cold-formed steel structural members. Washington, DC: AISI.
AISI (American Iron and Steel Institute). 2016. North American Specification for the design of cold-formed steel structural members. Washington, DC: AISI.
AS and NZS (Australian Standard and New Zealand Standard). 2005. Cold-formed steel structures. AS/NZS 4600. Sydney, Australia: AS and NZS.
Chu, X., Z. Ye, L. Li, and R. Kettle. 2006. “Local and distortional buckling of cold-formed zed-section beams under uniformly distributed transverse loads.” Int. J. Mech. Sci. 48 (4): 378–388. https://doi.org/10.1016/j.ijmecsci.2005.11.005.
Hancock, G. J. 1977. “Local distortional and lateral buckling of I-beams.” J. Struct. Eng. 104 (11): 1787–1798. https://doi.org/10.1016/0263-8231(83)90011-3.
Hancock, G. J. 1985. “Distortional buckling of steel storage rack columns.” J. Struct. Eng. 111 (12): 2770–2783. https://doi.org/10.1061/(ASCE)0733-9445(1985)111:12(2770).
Hancock, G. J. 1997. “Design for distortional buckling of flexural members.” Thin-Walled Struct. 27 (1): 3–12. https://doi.org/10.1016/0263-8231(96)00020-1.
Lau, S. C., and G. J. Hancock. 1987. “Distortional buckling formulas for channel columns.” J. Struct. Eng. 113 (5): 1063–1078. https://doi.org/10.1061/(ASCE)0733-9445(1987)113:5(1063).
Law, K., Y. Zhao, W. Yan, and C. Yu. 2012. “Simplified method for critical elastic distortional buckling of cold-formed steel C and Z sections.” Adv. Struct. Eng. 15 (12): 2013–2019. https://doi.org/10.1260/1369-4332.15.12.2013.
Lu, H. 2008. “Research on performance of z-section purlins with inclined lip stiffeners subjected to bending loading.” Master thesis, Harbin Institute of Technology. http://cdmd.cnki.com.cn/Article/CDMD-10213-2009291510.htm.
Peköz, T., G. Winter, and T. Desmond. 1978. “Edge stiffeners for cold-formed steel members.” In Proc., Fourth Specialty Conf. on Cold-formed Steel Structures. St Louis.
People’s Republic of China National Standard. 2002. Technical code of cold-formed thin-wall steel structures. GB50018. Beijing: China Planning Press.
Polyzois, D., and A. R. Sudharmapal. 1990. “Cold-formed steel z-sections with sloping edge stiffness under axial load.” J. Struct. Eng. 116 (2): 392–406. https://doi.org/10.1061/(ASCE)0733-9445(1990)116:2(392).
Schafer, B. 2002. “Local, distortional, and Euler buckling of thin-walled columns.” J. Struct. Eng. 128 (3): 289–299. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:3(289).
Schafer, B., and T. Peköz. 1999. “Laterally braced cold-formed steel flexural members with edge stiffened flanges.” J. Struct. Eng. 125 (2): 118–127. https://doi.org/10.1061/(ASCE)0733-9445(1999)125:2(118).
Sharp, M. L. 1966. “Longitudinal stiffeners for compression members.” J. Struct. Div. 92 (5): 187–212.
Silvestre, N., and D. Camotim. 2004. “Distortional buckling formulae for cold-formed steel C and Z-section members. I: Derivation.” Thin-Walled Struct. 42 (11): 1567–1597. https://doi.org/10.1016/j.tws.2004.05.001.
Silvestre, N., and D. Camotim. 2010. “On the mechanics of distortion in thin-walled open sections.” Thin-Walled Struct. 48 (7): 469–481. https://doi.org/10.1016/j.tws.2010.02.001.
Teng, J., J. Yao, and Y. Zhao. 2003. “Distortional buckling of channel beam-columns.” Thin-Walled Struct. 41 (7): 595–617. https://doi.org/10.1016/S0263-8231(03)00007-7.
Tong, G. 2013. Out-of-plane buckling of steel structures. Beijing: China Architecture and Building Press.
Tong, G., Y. Feng, and L. Zhang. 2015. “A unified analysis for distortional and lateral buckling of c-purlins in flexure.” Thin-Walled Struct. 95: 244–254. https://doi.org/10.1016/j.tws.2015.07.001.
Tong, G., and J. Wu. 2006. “Local and distortional bucklings of different inclined lipped purlins.” Steel Constr. 21 (5): 18.
Tong, G., and J. Xia. 2007. “Buckling of I-sectional steel beams loaded by negative moments.” Progr. Steel Build. Struct. 9 (1): 46–51.
Willis, C. T., and B. Wallace. 1990. “Behavior of cold-formed steel purlins under gravity loading.” J. Struct. Eng. 116 (8): 2061–2069. https://doi.org/10.1061/(ASCE)0733-9445(1990)116:8(2061).
Young, B., and G. J. Hancock. 2003. “Compression tests of channels with inclined simple edge stiffeners.” J. Struct. Eng. 129 (10): 1403–1411. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:10(1403).
Yu, C., and B. W. Schafer. 2006. “Distortional buckling tests on cold-formed steel beams.” J. Struct. Eng. 132 (4): 515–528. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:4(515).
Yu, C., and B. W. Schafer. 2007. “Simulation of cold-formed steel beams in local and distortional buckling with applications to the direct strength method.” J. Constr. Steel Res. 63 (5): 581–590. https://doi.org/10.1016/j.jcsr.2006.07.008.
Yu, C., and W. Yan. 2011. “Effective width method for determining distortional buckling strength of cold-formed steel flexural c and z sections.” Thin-Walled Struct. 49 (2): 233–238. https://doi.org/10.1016/j.tws.2010.11.006.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 144 • Issue 10 • October 2018
Copyright
©2018 American Society of Civil Engineers.
History
Received: Aug 3, 2017
Accepted: Apr 13, 2018
Published online: Jul 9, 2018
Published in print: Oct 1, 2018
Discussion open until: Dec 9, 2018
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.